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Finding the Third Proportional to 76,012 and 114,474

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Solution

The third proportional to 76,012 and 114,474 is: 172,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,012 : 114,474 = 114,474 : x
  2. Step 2: Convert to fraction form
    76,012/114,474 = 114,474/x
  3. Step 3: Cross multiply
    76,012x = 114,474 × 114,474
  4. Step 4: Simplify right side
    76,012x = 13,104,296,676
  5. Step 5: Solve for x
    x = 13,104,296,676/76,012
  6. Step 6: Final answer
    x = 172,397.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.